Please help
Solve 3(tan^4(x))+4(tan^2(x))-1=0
I know there are multiple situations but I was wondering how to solve this algebraically like a polynomial without graphing

Question

Please help
Solve 3(tan^4(x))+4(tan^2(x))-1=0
I know there are multiple situations but I was wondering how to solve this algebraically like a polynomial without graphing

rebeccaxhawaii · Answer

http://www.calculators.org/math/algebra.php

anonymous · Answer

Not situations, solutions

rebeccaxhawaii · Answer

plug it in here for great explanation be sure to plug in

anonymous · Answer

Umm actually that doesn't work because it asks for an upgrade for step by step solutions

tkhunny · Answer

There should be no plugging in.  Solve this: $3x^{2}+4x-1 = 0$

anonymous · Answer

$$x=\frac{ -2\pm \sqrt{7} }{ 3 }$$

anonymous · Answer

That's what I got
Would that squared be equivalent to using the 4th power instead of the second like we did?

tkhunny · Answer

Okay, now write $\tan^{2}(x) = \dfrac{-2\pm\sqrt{7}}{3}$, think about why I did that, and you're almost done.

anonymous · Answer

Ohhhhh Wow that makes sense, thanks a lot!

anonymous · Answer

You would take the square root of that expression and get
$$\tan x=\sqrt{\frac{ -2\pm \sqrt{7} }{ 3 }}$$ right?

tkhunny · Answer

No quite.  Add another $\pm$

anonymous · Answer

Oh right in front of the square root
Thank you!